Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
324 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 100 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#90935 | C2 | semidirect |
| 3. C2×#90934 | C2 | semidirect |
| 4. C16×Dic15 | C2 | semidirect |
| 5. C5×(C2×D3)⋊C16 | C2 | semidirect |
| 6. C3×#64727 | C2 | semidirect |
| 7. #11745928 | C2 | semidirect |
| 27. #64727 | D3 | semidirect |
| 46. C3⋊#672 | D4 | semidirect |
| 53. (C2×D3)⋊C16 | D5 | semidirect |
| 136. Dic15 | M32 | semidirect |
| 242. C3×C5 | #2169 | semidirect |
| 283. C5 | #69104 | semidirect |
| 297. C3 | #10599897 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×#1201 | 2 |
| C2×#90935 | 2 |
| C2×#90934 | 2 |
| C16×Dic15 | 2 |
| C5×(C2×D3)⋊C16 | 2 |
| C3×#64727 | 2 |
| #11745928 | 2 |
| #10599897 | 3 |
| #69104 | 5 |